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What is the Least Common Multiple of 55640 and 55654?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 55640 and 55654 is 1548294280.

LCM(55640,55654) = 1548294280

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Least Common Multiple of 55640 and 55654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55640 and 55654, than apply into the LCM equation.

GCF(55640,55654) = 2
LCM(55640,55654) = ( 55640 × 55654) / 2
LCM(55640,55654) = 3096588560 / 2
LCM(55640,55654) = 1548294280

Least Common Multiple (LCM) of 55640 and 55654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55640 and 55654. First we will calculate the prime factors of 55640 and 55654.

Prime Factorization of 55640

Prime factors of 55640 are 2, 5, 13, 107. Prime factorization of 55640 in exponential form is:

55640 = 23 × 51 × 131 × 1071

Prime Factorization of 55654

Prime factors of 55654 are 2, 27827. Prime factorization of 55654 in exponential form is:

55654 = 21 × 278271

Now multiplying the highest exponent prime factors to calculate the LCM of 55640 and 55654.

LCM(55640,55654) = 23 × 51 × 131 × 1071 × 278271
LCM(55640,55654) = 1548294280